Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=5310
Alternative Form
x≈10.772173
Evaluate
3log10(2x)=4
Find the domain
More Steps
Evaluate
2x>0
Rewrite the expression
x>0
3log10(2x)=4,x>0
Divide both sides
33log10(2x)=34
Divide the numbers
log10(2x)=34
Convert the logarithm into exponential form using the fact that logax=b is equal to x=ab
2x=1034
Use anm=nam to transform the expression
2x=10310
Divide both sides
22x=210310
Divide the numbers
x=210310
Divide the numbers
More Steps
Evaluate
210310
Reduce the numbers
15310
Calculate
5310
x=5310
Check if the solution is in the defined range
x=5310,x>0
Solution
x=5310
Alternative Form
x≈10.772173
Show Solution
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